Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 566/352,650/151
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 566,650
Greatest Common Factor of Numerators i.e. GCF of 566,650 is 2 .
LCM of Denominators means LCM of 352,151 as per the given fractions.
LCM of 352,151 is 53152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 566,650
2 | 566, 650 |
283, 325 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 566,650 . The biggest common factor number is the GCF number.
So the greatest common factor 566,650 is 2.
Lets's calculate LCM of 352,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 53152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53152
Therefore, the GCF of Fractions 566/352,650/151 is 2/53152
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 352,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(352,151) x common factors =1 x 1 = 1
LCM(352,151) = ( 352 × 151 ) / 1
LCM(352,151) = 53152 / 1
LCM(352,151) = 53152
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 566/352, 650/151?
Answer: GCF of Numerators as per given numbers 566/352, 650/151 is
GCF of Numerators i.e. for 566,650 is 2
LCM of denominators i.e. for 352,151 is 53152.
Thus, GCF of Fractions is 2/53152.Finally, GCF of Fractions for 566/352, 650/151 is 2/53152.